Friday 6 May 2016

Multiplication tables from 16 to 19

Hi folks!
Hope you enjoyed reading the last post wherein the multiplication trick for the tables from 12 to 15 were mentioned. And just in case if you have missed it, pls do click on the below link to view it. As it will create a base for this post as well.

Before getting into this blog very much, I did like to share a beautiful quote by Aravind Adiga, "In my family, as in most middle-class Indian families I knew when I was growing up, science and mathematics were held in awe", the of The White Tiger and the proud winner of 40th Man Booker Prize 2008.


So here we are all set to begin the next set of multiplication tables from 16 to 19.

Let's start with 16:

Multiplication table for 16

Method: As usual write down the equations for 16x1 and 16x10. And then, split the RHS into two columns: Tens and Unit. Start murmuring the table for six and pen down the unit digit from that to the units column of the table. It will look like 6, 2, 8, 4, 0, 6, 2, 8, 4, 0. Tens digit placing is a bit difficult in 16 as compared to other multiplication tables. So assuming you have already written 16x1 and 16x10, the sequence in the tens column will go like 3 and 4; then 6; 8 and 9; skip 10; 11 and 12; skip 13 and comes 14. Do check the flow in the chart below:

Tens and Unit place filling for 16

Hope you got it right. But never mind the coming multiplication tables are not as the above.


17 as below:
Multiplication table for 17


Method: Alright, I hope you've already noted 17x1 and 17x10. Split the RHS into tens and units column too. So now let us start to fill the units column one by one as did in the previous table. Murmuring the table for 7 and writing down the unit digit number into the units column, we'll have 7, 4, 1, 8, 5, 2, 9, 6, 3 and 0 filled in that column. The tens place numbers are relatively simpler, as these will come in the sequence of  odd and even numbers alternatively. Viz. odd: 1, 3, 5; even: 6, 8, 10; odd: 11, 13, 15, 17 and we're done! See the below chart for your understanding:

Tens and Unit place filling for 17


Coming on to 18 now:

Multiplication table for 18

Method: Once done with tens and units column along with 18x1 and 18x10, we'll fill up the unit column first. The units column will somewhat go in the flow as 8, 6, 4, 2, 0, 8, 6, 4, 2, 0 i.e. the even numbers in descending order starting from 8 up till 0 and repeating the same pattern again. Let's move on to the tens column now. It is more or less self-explanatory that there is a sequence of odd and even numbers. One to five rows of odd numbers from 1 to 9 and six to ten rows of even numbers 10 to 18, in ascending order.

Tens and Unit place filling for 18


Now comes the last and the easiest multiplication table in this post. As expected it's 19:

Multiplication table for 19
Method: Fairly simple and fun writing multiplication table. In the units column, start writing the numbers from 9 to 0 in descending form. Quiet easy right. And then in the tens column start writing all the odd digits from 1 to 20 in ascending order one below the other. And you are done with it.
Done and dusted.

Tens and Unit place filling for 19


As quoted by great scientist Albert Einstein, "Do not worry about your problems in mathematics, I can assure you mine are still greater." So it's not only you that is facing the challenges in mathematics, it's within everyone.

With these techniques, I hope everyone would be at least be able to write tables up to 20 without any glitches. And if otherwise, it can be easily done by practising it a few times. 


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Keep tuned for few new techniques. Till then stay happy, stay blessed!